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22765047640 = 23523791033041
BaseRepresentation
bin10101001100111001…
…110000111101011000
32011202112110020112121
4111030321300331120
5333110323011030
614242541551024
71434065466166
oct251471607530
964675406477
1022765047640
119722304265
1244b3b75474
1321ba4b79ba
14115d60c236
158d389e47a
hex54ce70f58

22765047640 has 128 divisors (see below), whose sum is σ = 54668390400. Its totient is φ = 8513556480.

The previous prime is 22765047637. The next prime is 22765047673. The reversal of 22765047640 is 4674056722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7484520 + ... + 7487560.

It is an arithmetic number, because the mean of its divisors is an integer number (427096800).

Almost surely, 222765047640 is an apocalyptic number.

22765047640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22765047640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27334195200).

22765047640 is an abundant number, since it is smaller than the sum of its proper divisors (31903342760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22765047640 is a wasteful number, since it uses less digits than its factorization.

22765047640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 22765047640 in words is "twenty-two billion, seven hundred sixty-five million, forty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 103 115 158 184 206 230 316 395 412 460 515 632 790 824 920 1030 1580 1817 2060 2369 3041 3160 3634 4120 4738 6082 7268 8137 9085 9476 11845 12164 14536 15205 16274 18170 18952 23690 24328 30410 32548 36340 40685 47380 60820 65096 69943 72680 81370 94760 121640 139886 162740 187151 240239 279772 313223 325480 349715 374302 480478 559544 626446 699430 748604 935755 960956 1201195 1252892 1398860 1497208 1566115 1871510 1921912 2402390 2505784 2797720 3132230 3743020 4804780 5525497 6264460 7204129 7486040 9609560 11050994 12528920 14408258 22101988 24744617 27627485 28816516 36020645 44203976 49489234 55254970 57633032 72041290 98978468 110509940 123723085 144082580 197956936 221019880 247446170 288165160 494892340 569126191 989784680 1138252382 2276504764 2845630955 4553009528 5691261910 11382523820 22765047640